Existence and global attractivity of the unique positive periodic solution for discrete hematopoiesis model. (English) Zbl 1362.39022

Yao, Zhijian

Topol. Methods Nonlinear Anal. 45, No. 2, 423-437 (2015).

Summary: In this paper, a discrete hematopoiesis model is studied. By using fixed point theorem of decreasing operator, we obtain sufficient conditions for the existence of unique positive periodic solution. Particularly, we give iterative sequence which converges to the positive periodic solution.
In addition, the global attractivity of positive periodic solution is also investigated.

MSC:

39A23	Periodic solutions of difference equations
39A30	Stability theory for difference equations

Keywords:

discrete hematopoiesis model; periodic solution; uniqueness; global attractivity; fixed point theorem of decreasing operator